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intransitive verb, godan verb
張る is to stretch. You're stubborn and want to stretch out what you're doing right now. Although you're stubborn, you keep doing it. You persevere. That's why this word is to persevere.
The reading for this word is the reading for 頑 and 張る put together but the 張る part gets rendaku'd so keep that in mind.
Hang in there, you can do this.